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Finding the Fourth Proportional to 601.83, 902.87 and 272.61

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Solution

The fourth proportional to 601.83, 902.87 and 272.61 is: 408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.83 : 902.87 = 272.61 : x
  2. Step 2: Convert to fraction form
    601.83/902.87 = 272.61/x
  3. Step 3: Cross multiply
    601.83x = 902.87 × 272.61
  4. Step 4: Simplify right side
    601.83x = 246,131.05
  5. Step 5: Solve for x
    x = 246,131.05/601.83
  6. Step 6: Final answer
    x = 408.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.